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Crystal dissolution and precipitation in porous media: L1-contraction and uniqueness

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: T.L. van Noorden, I.S. Pop, M. Roeger

Editorial: Discrete Contin. Dyn. Syst., suppl., p.1013-1020, 2007.

Rezumat:

In this note we complete the analysis of the pore-scale model for crystal dissolution and precipitation in porous media proposed in [C. J. van Duijn and I. S. Pop, J. Reine Angew. Math. 577 (2004), 171-211]. There the existence of weak solutions was shown. We prove an L1-contraction property of the pore-scale model. As a direct consequence we obtain the uniqueness of (weak) solutions.

Cuvinte cheie: uniqueness, L1 contraction, reactive flow, porous media

URL: http://www.aimsciences.org/journals/displayPapers.jsp?comments=&pubID=201&journID=4&pubString=Volume:%202007,%20Number:%20Special,%20September%202007